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Ferreira, M. A. M. (2019). LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study. In Dagmar Szarková, Daniela Richtáriková, Peter Letavaj (Ed.), 18th Conference on Applied Mathematics proceedings. (pp. 304-312). Bratislava: Slovak University of Technology.
Export Reference (IEEE)
M. A. Ferreira,  "LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study", in 18th Conf. on Applied Mathematics proceedings, Dagmar Szarková, Daniela Richtáriková, Peter Letavaj, Ed., Bratislava, Slovak University of Technology, 2019, pp. 304-312
Export BibTeX
@inproceedings{ferreira2019_1764918826489,
	author = "Ferreira, M. A. M.",
	title = "LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study",
	booktitle = "18th Conference on Applied Mathematics proceedings",
	year = "2019",
	editor = "Dagmar Szarková, Daniela Richtáriková, Peter Letavaj",
	volume = "",
	number = "",
	series = "",
	pages = "304-312",
	publisher = "Slovak University of Technology",
	address = "Bratislava",
	organization = "Slovak University of Technology in Bratislava-Faculty of Mechanical Engineering ",
	url = "http://evlm.stuba.sk/APLIMAT/indexe.htm"
}
Export RIS
TY  - CPAPER
TI  - LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study
T2  - 18th Conference on Applied Mathematics proceedings
AU  - Ferreira, M. A. M.
PY  - 2019
SP  - 304-312
CY  - Bratislava
UR  - http://evlm.stuba.sk/APLIMAT/indexe.htm
AB  - The Laplace transform is a widely used tool in the study of probability distributions, often allowing for a probability density functions and distribution functions simpler determination and being a “moments generating function”. In this paper, it is considered a situation not so simple, as it is the case of the M|G|∞ queue busy period length distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of an open queues network, which nodes behave as M|G|∞ queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the global service time length of a customer during their stay on the network distribution.
ER  -